CAT 1994 — QA Question 7
Time, Speed & DistanceEasy
Two towns A and B are 100 km apart. A school is to be built for 100 students of town B and 30 students of Town A. Expenditure on transport is Rs. 1.20 per km per student. If the total expenditure on transport by all 130 students is to be as small as possible, then the school should be built at
Answer & solution
Correct answer: Town B
- A
33 km from Town A.
- B
33 km from Town B
- C
Town A
Town B
Solution
Hence we find that the least expenditure will be incurred if the school is located in town B.
HINT:
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Students please note that since there are more number of students from Town B, to minimise the total expenditure the school should be located as closer to town B as possible.